Static quark potential according to the dual-superconductor picture of QCD

M. Baker; J. S. Ball; F. Zachariasen

doi:10.1103/PhysRevD.34.3894

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Static quark potential according to the dual-superconductor picture of QCD

M. Baker, J. S. Ball, F. Zachariasen

DOI 10.1103/PhysRevD.34.3894 · Physical Review D

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Abstract

We use the effective action describing long-range QCD, which predicts that QCD behaves as a dual superconductor, to derive the interaction energy between two heavy quarks as a function of separation. The dual-superconductor field equations are solved in an approximation in which the boundary between the superconducting vacuum and the region of normal vacuum surrounding the quarks is sharp. Further, non-Abelian effects are neglected. The resulting heavy-quark potential is linear in separation at large separation, and Coulomb-like at small separation. Overall it agrees very well with phenomenologically determined potentials.